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128724264 = 23321787837
BaseRepresentation
bin1111010110000…
…10110100101000
322222012212111100
413223002310220
5230423134024
620435001400
73122065254
oct753026450
9288185440
10128724264
1166730499
1237139260
132088cc06
141314b264
15b47a7c9
hex7ac2d28

128724264 has 24 divisors (see below), whose sum is σ = 348628410. Its totient is φ = 42908064.

The previous prime is 128724251. The next prime is 128724311. The reversal of 128724264 is 462427821.

It can be written as a sum of positive squares in only one way, i.e., 73102500 + 55621764 = 8550^2 + 7458^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1287242642 = 33139872284683392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 893847 + ... + 893990.

Almost surely, 2128724264 is an apocalyptic number.

It is an amenable number.

128724264 is an abundant number, since it is smaller than the sum of its proper divisors (219904146).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

128724264 is a wasteful number, since it uses less digits than its factorization.

128724264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787849 (or 1787842 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 128724264 is about 11345.6715975741. The cubic root of 128724264 is about 504.9171696976.

The spelling of 128724264 in words is "one hundred twenty-eight million, seven hundred twenty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1787837 3575674 5363511 7151348 10727022 14302696 16090533 21454044 32181066 42908088 64362132 128724264